1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation. (a) () Find ||x||. (b) Find 2x + 3y. (c) Find x. y. (d) Find x x y. Answer: Answer: Answer:

Q: Let u = 4i + 5j, v = -4i +2j, and w = 3i - j. Determine the i, j form of each of the following: (a)…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: ..... A= -1 1 is diagonalizable. Select one: True False

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Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

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Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: Compute (u v Ղա • Ա. . — u = (i, 7,6), v = (2, -7i, 1+i), w = (7-i, 7i, 3 + 6i) u · v) ա • Ա —

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Q: 2. Determine whether the expression is defined or undefined. If it is defined, then determine…

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Q: 3. Solve the system below using the specified method. Write your answer in vector form. X1 - 3x2 = 2…

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Q: ne blanks and b = -2x+9y, write

A: Given: a⇀=3x⇀-5y⇀ and b⇀=-2x⇀+9y⇀ We should write the given vector5a⇀-8b⇀in terms of x⇀ and y⇀

Q: Find the dot product of a = and b = .

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Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where…

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Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: Find the angle between the vectors and .

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Q: 1. Consider the following vectors: a = 2í +33, 8 = -27+3k, and ở = -37+ 237 Compute the following…

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Q: There are 210 grade 12 students enrolled for se quidance department to determine the number 8…

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Q: 15. If p = and q = find -3p + 2q (Make sure you put the vector signs before and after numbers).

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Q: Define irrotational vector. Is the vector A =(6xy+z³)i+(3x² - 2)j+(3xz² – y)k irrotational? Justify…

A: we have the vector A=(6xy+z3)i+(3x2-z)j+(3xz2-y)k we have to check weather the given vector is…

Q: For the following vectors, Find A. uxvxw (cross-product) B. w.u.v (dot product) C. wxv…

A: Vectors,u=5i+3j-7kv=-4i+2j+7kw=3.5i-4j+6k

Q: Let v vector=[−4 −6] and b vector =[8 1 2] (check the image for reference) Is b vector in the…

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Q: For the vector, find ¹-V, -V, and 4V. V = -V = 4V || V = 2i + 8j

A: NOTE: Refresh your page if you can't see any equations. . the given vector is

Q: Find the dot product of ū = (3,-2) and v = (5,-7). Select one: -1 V29 29 (8,-9)

A: Consider the vectors u→=3,−2v→=5,−7

Q: 1. Write the vector v = 3 as a linear combination of the vectors:

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Q: Graph the vector 3 – 2i and state its argument (or direction vector) in de

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Q: 3. If a = 3x - 5y and b=-2x+9y, write the vector 5a-8b in terms of x and y

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Q: Q2. What will be the effect of multiplying the vector by a positive and a negative scalar. Explain…

A: To find: The effect of multiplying a vector by a positive and a negative scalar.  Explanation: When…

Q: Calculate the velocity and acceleration vectors and the speed of r(t) = ( 67² 67² ) at the time t =…

A: Definition of VelocityLet r(t) be a differentiable vector valued function representing the position…

Q: x2 = x3 =

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Q: 70. If A = (4i-3k) and B= (-i+j-2k). Find the vector product of A and B. a. (6i+8j+k) b. (-6i+8j+7k)…

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